signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 77.836674451828} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
eea3b85f6c338196bfcd99350b0e2d9a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [3414, 2025], "expectation_value": -3.117721253636635, "params": [[[1.5729, -1.5725], [-1.5728, 1.5738], [1.3678000000000001, 1.5685], [1.5733000000000001, 1.5726], [1.2297, 1.5727], [1.5732000000000002, 1.5852000000000002], [-0.09050000000000001, 1.5802], [1.5729, 1.5725], [1.5728, 1.5739], [1.5728, 1.57340... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(3... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.625, "smallest_bitstrings": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.164147526782816e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.164147526782816e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.164147526782816e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(3.164147526782816e-09) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.757576 | [
3.164147526782816e-9,
0.3398368793410832,
1.5707963369699605,
-1.5707963464211774,
1.57079635772165
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 162 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [8, 24], "expectation_value": -3.127612273749581, "params": [0.2927, 0.2901, 0.28950000000000004, 0.2927, -0.0201, -0.0198, -0.0031000000000000003, 0.0048000000000000004, -0.016900000000000002, -0.016, 0.2943, 0.2926, 0.2878, 0.2907, -0.0188, -0.012400000000000001, -0.002, 0.0063, -0.019, -0.0205, 0.2871, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 14 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [47, 127], "expectation_value": -11.53331067575609, "params": null, "bitstrings": ["11010000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.06277200153905405, 0.5103310153946397], "optimization_time": 190.90552473068237} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
b9249c89c9fecbd960c9b5e99266b9fa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 41], "expectation_value": -0.22403939186247168, "params": [[-0.0819], [0.0765]], "bitstrings": ["0001111", "1010110"], "total_optimization_steps": 10, "probabilities": [0.009133593524175757, 0.009337791042972327], "optimization_time": 1.377488613128662} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "1010110", "0111001", "0101101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.08071652466666357) q[0];
rz(-0.32294883356963694) q[0];
ry(-0.09888845264555152) q[1];
rz(0.5517569934657596) q[1];
cx q[1], q[0];
ry(-0.28768937507189146) q[0];
rz(0.4898392647229848) q[0];
ry(0.3600763272392296) q[1];
rz(0.1897238360713766) q[1];
ry(-0.0830100838... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIIZI",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"ZIIIZII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-1
] | 0.975576 | [
0.08071652466666357,
-0.32294883356963694,
-0.09888845264555152,
0.5517569934657596,
-0.08301008383544614,
-0.141481058724331,
-0.034853233212542106,
1.000105299502224,
-0.12063493658246893,
-1.1703750484006812,
-0.038915728037118805,
-0.03603490569316267,
1.0390475730386841,
0.43869168804... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 84 |
570afb120ac224dc3123b6884272022a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 20.492640256881714} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-1,
0
] | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
1f5d7944e50ebc48c654989c65672b6f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -6.3315040128628945, "params": [[[-0.0033, 0.0086], [-0.0027, 0.009600000000000001], [-0.0025, 0.0077], [0.0027, 0.0008], [0.0027, 0.0023], [0.0022, 0.0005], [0.0024000000000000002, 0.0001], [1.6116000000000001, 0.0015]]], "bitstrings": ["11111111", "11111110"], "total_optimizati... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09738613442502557) q[0];
rz(0.435952912591826) q[0];
rx(-0.047169160464950136) q[1];
rz(-0.90779886270394) q[1];
rx(-0.13931343964056148) q[2];
rz(0.2905097873613709) q[2];
rx(-0.03624817296492008) q[3];
rz(-0.01949650125297886) q[3];
rx(0.07846903487514233) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.5,
-0.75,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
1.25,
-0.25,
-0.75,
1,
-1.25,
0.25,
0.5,
-0.75
] | 0.971658 | [
0.0973861344250256,
0.16265904465971007,
-0.047169160464950136,
-0.7941578805206778,
-0.13931343964056148,
0.37706575029109946,
-0.03624817296492008,
-0.1970044103307955,
0.07846903487514233,
-0.11358981143886039,
0.012705731843903292,
-0.4464676850645991,
0.8094954770296601,
1.55968326296... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 10 |
5dd8a96bddc38dd91a63d32b7368ef2c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [237, 109], "expectation_value": -43.84402513115426, "params": [0.8019000000000001, 0.3336, 1.2941, 0.2039, 1.2846, 0.3265, 0.4859, 0.4415, 1.2971000000000001, 0.0235, 1.3010000000000002, 0.0095, 0.0017000000000000001, 0.7967000000000001, 1.2962, 0.0872, 0.804, 0.0025, 1.2911000000000001, 0.0001, 1.2839, 0.0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.0 * Z(0) + 6.0 * Z(2) + 13.5 * Z(1) + 14.5 * Z(4) + 14.0 * Z(5) + 2.0 * Z(3) + 6.5 * Z(7) + -4.0 * Z(6) | 18 | 8 | 2 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 107.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5779559168436332) q[0];
rz(0.3426803213821641) q[0];
rx(2.9240637133081377) q[1];
rz(0.20260117582469334) q[1];
rx(3.2084754990402984) q[2];
rz(-0.2593120600600166) q[2];
rx(0.24826360238620895) q[3];
rz(0.42942701188660637) q[3];
rx(3.225223287933672) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5,
6,
13.5,
14.5,
14,
2,
6.5,
-4
] | 0.970091 | [
0.5779559168436333,
0.04638062157060074,
2.9240637133081377,
0.20260117582469334,
3.2084754990402984,
-0.2593120600600166,
0.24826360238620895,
0.42942701188660637,
3.225223287933672,
-0.024426656437225275,
2.943353015336444,
-0.1522054271975481,
0.03698228801292014,
0.13748395843012595,
... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -57,
"target_ratio": 0.97,
"target_value": -55.29
} | 12 |
-234329353063358157 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [123, 122], "expectation_value": -1.0678568306131095, "params": [0.3085, 0.5121, 0.3027, 0.0006000000000000001, 1.7822, 0.1364, 0.9457000000000001, -0.34240000000000004, 1.5717, -0.0028, 1.5737, 0.0048000000000000004, 1.3626, 0.0044, 1.3198, 0.0029000000000000002, 1.5737, 0.0011, 1.5705, 0.0023, 0.4711, 0.39... | 0.5 * (Z(5) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.023809523809523808 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.05714285714285714 * (Z(2) @... | 8 | 8 | 1 | {"smallest_eigenvalues": [-1.0904761904761904, -1.0904761904761904], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0571428571428572, "smallest_bitstrings": ["10000101", "01000101"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-1.561990056928649) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(0.10424429656047235) q[0];
cx q[6], q[0];
cx q[5], q[0];
rz(-0.08604918290923019) q[0];
cx q[5], q[0];
cx q[6], q[1];
rz(0.10424429656047... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZZIIIII",
"IZIIIIIZ",
"IIZIIIIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"IZIIIZII",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZIIZIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IZIZIIII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZZIIIIII",
"ZIZIIII... | [
0.5,
0.023809523809523808,
0.03333333333333333,
0.023809523809523808,
0.03333333333333333,
0.05714285714285714,
0.023809523809523808,
0.08333333333333334,
0.05714285714285714,
0.05714285714285714,
0.023809523809523808,
0.08333333333333334,
0.05714285714285714,
0.05714285714285714,
0.1071... | 0.88905 | [
-1.561990056928649,
0.10424429656047235,
-0.08604918290923019,
-0.1154714603610035,
-0.12311986816561989,
-0.3895155874869657,
-0.08491837527228809,
-0.14404542405675205,
0.07824806616870042,
-0.07908879396002985,
-1.3972881119173737,
-0.5906747210879046,
-1.4383759864270675,
0.83256480988... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -1.0904761904761904,
"target_ratio": 0.97,
"target_value": -1.0577619047619047
} | 423 |
3376d5ab61c63d64b2d514c722c4a3cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [154, 410], "expectation_value": -5.7217592916824955, "params": [[0.0023, 0.7872, 0.9245000000000001, 0.0083, -0.0034000000000000002, 0.7974, 0.9081, -0.002, 1.4003, -0.0048000000000000004], [0.0023, 1.4104, 1.3999000000000001, 0.19190000000000002, -0.003, 1.4041000000000001, 1.3998000000000002, -0.002100000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(9)) + -0.5 * Z(2) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["0010100111", "1001100101", "1000100111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.02356283652002241) q[0];
ry(-0.05075160807515093) q[1];
ry(1.0109942573683735) q[2];
ry(-0.17246012267397204) q[3];
ry(-0.1780834795298059) q[4];
ry(0.7454891695973108) q[5];
ry(0.3717165810557491) q[6];
ry(0.04583762568021097) q[7];
ry(1.6477752248948343) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIZIII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIZIZIIIII",
"ZIIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
0,
-0.5,
-0.5
] | 0.978919 | [
-0.02356283652002241,
-0.05075160807515093,
1.0109942573683735,
-0.17246012267397204,
-0.1780834795298059,
0.7454891695973108,
0.3717165810557491,
0.04583762568021097,
1.6477752248948343,
-0.09069006882711544,
2.81130117563685,
2.2204166455982253,
0.047455162030946546,
0.23594284409256727,... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 20 |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [5, 20], "expectation_value": -4.911630018605025, "params": null, "bitstrings": ["1111010", "1101011"], "total_optimization_steps": 20, "probabilities": [0.060126429742880926, 0.7888175319718603], "optimization_time": 21.263633251190186} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIIZZII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1,
-1.5,
-1,
-1.5
] | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
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0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
-209512348615238131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 7], [9, 3], [8, 3, 4], [1, 10, 2, 5], [8, 9], [10, 6], [0, 2, 3, 7, 8], [4, 5], [6, 7], [0, 9, 5], [0, 9, 10], [1, 5, 7]]} | {"states": [1709, 1197], "expectation_value": -4.574164387538995, "params": [1.5264, 0.007500000000000001, 1.5257, 0.0041, 2.194, -1.1912, 2.1605000000000003, -0.8587, 0.4002, 0.7130000000000001, 0.4031, 0.0038, 1.6271, 0.0041, 1.5087000000000002, 0.195, 0.0969, -0.0033, 0.0981, 0.0044, 1.6224, -0.0027, 1.5151000000000... | 0.5 * (Z(9) @ Z(7)) + 0.05 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(9)) + 0.05 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.083333333333333... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.7], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333334, "smallest_bitstrings": ["01101010010"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.4341848517070759) q[0];
rz(1.6454660388221054) q[0];
rx(2.2326374555291864) q[1];
rz(-1.334179536894589) q[1];
cx q[1], q[0];
ry(-0.10439931158413901) q[0];
cx q[1], q[0];
ry(1.695362469380772) q[0];
rz(-1.389226788592795) q[0];
rx(2.458584232805901) q[1];
rz(0.65... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIIIII",
"IIIZIIIZIII",
"IZIIIIIZIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIZIIIIIZI",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IIIZIIIIZII",
"IIIIIIIZZII",
"IIZIIIIIZII",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIZIZIIIII",
"IZIIIZIIIII",
"IIIIIZZII... | [
0.5,
0.05,
0.5,
0.05,
0.5,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.08333333... | 0.971083 | [
1.4341848517070757,
0.07466971202720846,
2.2326374555291864,
-1.334179536894589,
0.49522496553441997,
0.6756078646978799,
1.6169341258913206,
0.18156953820210167,
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0.2716165231179697,
1.5744846318913335,
0.03870851479435471,
-0.023521144711463778,
-0.1418255027611495,
... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -4.7,
"target_ratio": 0.97,
"target_value": -4.559
} | 14 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 21.402769088745117} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
07f08f740839686dc73690bd58217754 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"s... | {"states": [4094, 8191], "expectation_value": -22.668854797529573, "params": [[[-1.2367000000000001, 1.4020000000000001], [0.0029000000000000002, 1.3998000000000002], [0.0034000000000000002, 0.0029000000000000002], [-0.0031000000000000003, -0.0033], [0.0021000000000000003, -0.0025], [0.002, 0.0018000000000000002], [0.0... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(9)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.2635038254089904) q[0];
ry(-0.05571725516614126) q[1];
ry(-0.14995673981312863) q[2];
ry(0.09765221419814726) q[3];
ry(-0.10788983591549525) q[4];
ry(-0.0748511401107492) q[5];
ry(0.212623458235675) q[6];
ry(-0.05571725516614126) q[7];
ry(0.011712726436372924) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIZIIZIIII",
"IIIZIZIIIIIII",
"IIIZIIIIZIIII",
"IIIIIZIZIIIII",
"IIIIIIIZZIIII",
"IIIZIIIZIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIZZIIIIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIII... | [
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
-3,
1,
-2,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
1,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970074 | [
-0.2635038254089904,
-0.05571725516614126,
-0.14995673981312863,
0.09765221419814726,
-0.10788983591549525,
-0.0748511401107492,
0.212623458235675,
0.011712726436372924,
0.07894692385923385,
-0.038447577797320234,
-0.2604553213887686,
3.1138512664501286,
-0.17322296186086286,
-0.1017275920... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 36 |
d56c975033dd057e743f83adc19a7c34 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [121, 89], "expectation_value": -2.943531966659782, "params": [-0.0025, 0.0082, 2.5066, 0.0068000000000000005, 1.4937, 0.0067, 2.5046, 0.0012000000000000001, 2.4978000000000002, 0.009000000000000001, -0.002, 0.0091, -0.0024000000000000002, 0.006200000000000001, 2.5017, 0.0056, 0.0009000000000000001, 0.0098, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100110", "10001110", "10000111", "10100110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.9050358879956693) q[0];
rz(0.5948867343780098) q[0];
rx(-0.0885496554455817) q[1];
rz(-0.20503975740606606) q[1];
rx(0.020973640917349125) q[2];
rz(-0.5221240672245311) q[2];
rx(2.71133793134002) q[3];
rz(-0.48018378432845443) q[3];
rx(0.030169291828219782) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZIZI",
"ZIIIZIZI",
"ZZIIIIZI",
"ZZIIZIII",
"ZZIIZIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.125,
-0.25,
0.125,
0,
-0.75,
-0.625,
0.125
] | 0.984426 | [
3.3781494191839174,
0.2675102565741927,
-0.08854965544558169,
-0.6477277573978388,
0.020973640917349122,
-0.6997177900453324,
2.71133793134002,
-0.424062130357592,
0.030169291828219785,
0.9914811742011299,
3.14508984552239,
-0.34936330861756365,
3.256916167636316,
0.2131946472530643,
-0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 19 |
-2774849660618634727 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 5, 6], [2, 6], [0, 3], [8, 1], [6, 7], [0, 1, 5, 7], [8, 2, 7]]} | {"states": [406, 466], "expectation_value": -2.5247017847350937, "params": null, "bitstrings": ["001101001", "000101101"], "total_optimization_steps": 70, "probabilities": [0.07926239634580716, 0.7247640430594776], "optimization_time": 101.12281250953674} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["000101101", "100000101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.3041316421924767) q[3];
cx q[0], q[3];
ry(0.3041316421924767) q[3];
cx q[0], q[3];
ry(1.2203255960022763) q[0];
ry(-0.7978138454950222) q[3];
h q[4];
ry(0.3744339325908442) q[4];
h q[5];
ry(-0.2956936841784071) q[5];
h q[6];
ry(-0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"IIIIIZIIZ",
"ZIIIIIZII",
"IIIIIIIZZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.1666666666... | 0.97099 | [
1.5495237965828181,
-0.524455297707233,
0.6156968076160126,
-0.8803438364598861,
-0.93232481508623,
0.548346149345936,
0.7777010579190583,
-0.6538512649502652,
-0.6082632843849534,
0.9939191393963327,
-0.6301262098821823,
0.4528129132118876,
0.4565415624372812,
-0.1644216594094716,
0.120... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 29 |
5034de4a0b71e78f13f19fc0d8322dd3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [252, 220], "expectation_value": -62.3913627007718, "params": [0.5206000000000001, 0.7078, 1.4026, 0.10490000000000001, 1.3951, -0.1535, 0.7768, -0.328, 1.3864, -0.1738, 1.3943, 0.0097, 1.3955, 0.3917, 0.0017000000000000001, 0.769, 0.0027, 0.9242, 0.5249, 0.0046, 1.3989, 0.006500000000000001, 1.3958000000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(5) + 14.0 * Z(4) + 20.5 * Z(2) + 9.5 * Z(3) + -3.0 * Z(7) + 1.5 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.13066071896283524) q[0];
rz(0.04194202396325952) q[0];
rx(1.7530774312509991) q[1];
rz(0.11556291295250098) q[1];
rx(1.7404641973619417) q[2];
rz(-0.19354189687079282) q[2];
rx(0.06821627595693139) q[3];
rz(-0.10829629046060886) q[3];
rx(1.503619586110241) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIZIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
3.5,
7.5,
19.5,
14,
20.5,
9.5,
-3,
1.5,
-10.5
] | 0.980289 | [
0.1306607189628352,
0.4522504693072946,
1.7530774312509991,
0.11556291295250098,
1.7404641973619417,
-0.19354189687079282,
0.06821627595693139,
-0.10829629046060886,
1.503619586110241,
-0.044189031201364096,
1.6276641529756128,
0.1207458487555029,
1.6206957065057863,
0.34811946887236667,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 9 |
-2336214338362953603 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6, 7], [3, 4, 6], [5, 6], [0, 4], [1, 2], [4, 6, 7], [1, 3, 4], [3, 5], [0, 3, 7], [1, 5]]} | {"states": [91, 211], "expectation_value": -3.6529177558468082, "params": null, "bitstrings": ["10100100", "00101100"], "total_optimization_steps": 48, "probabilities": [0.10323821229063172, 0.8353863741697457], "optimization_time": 63.793047189712524} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["00101100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04631133368086774) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.04631133368086774) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.04631133368086774) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.046311... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
... | 0.531024 | [
0.04631133368086774,
0.1260061585808825,
0.013073411126423082,
0.7434502320014614,
0.16368918479233233,
0.1907846429832962,
-0.9770473755347332,
1.2119065984180093,
-0.8585378874363866,
-0.9655661515377857
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 223 |
-8411823150573876030 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [3, 5, 6], [8, 1, 2, 5], [8, 3, 4, 5], [0, 3], [9, 7], [2, 3, 4, 5]]} | {"states": [507, 491], "expectation_value": -1.548204183566561, "params": [0.34190000000000004, 0.33280000000000004, 1.1966, 1.1976, 1.1948, 1.2013, 1.202, 1.2002000000000002, 1.1768, 0.9798, 1.1880000000000002, 0.9610000000000001, 1.1934, 1.1941000000000002, 0.32730000000000004, 0.2454, 1.1707, 0.9606, 1.2022000000000... | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.166666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.583333333333334, -2.583333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["1000010001", "1000010100"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.41854571511479227) q[0];
rz(pi/2) q[0];
ry(1.491876136752556) q[1];
ry(0.8335655046967173) q[2];
ry(1.6426056371400937) q[3];
ry(1.7587997762180498) q[4];
ry(0.8470398840387189) q[5];
ry(1.4266404845560805) q[6];
ry(0.05226679298333749) q[7];
ry(1.604083002091558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIZIIIII",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16... | 0.972863 | [
-0.41854571511479227,
1.491876136752556,
0.8335655046967173,
1.6426056371400937,
1.7587997762180498,
0.8470398840387189,
1.4266404845560805,
0.05226679298333749,
1.604083002091558,
1.582295743263353,
0.07816718222464102,
1.49005854467307,
1.5391098182174383,
-0.057960089049840895,
-1.107... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -2.583333333333334,
"target_ratio": 0.97,
"target_value": -2.505833333333334
} | 51 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -11.636573306106008, "params": [[[0.14700000000000002, 0.2303], [0.1577, 0.234], [0.1486, 0.23170000000000002], [0.18510000000000001, -0.2212], [0.5786, -0.0016], [0.5997, 0.0011]], [[0.1559, 0.2305], [0.1486, 0.234], [0.1438, 0.2316], [0.1827, -0.2212], [0.5791000000000001, -0.0... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
92977879d93808800c1e23dcfc7674ef | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -2.1203320470118143, "params": [[-0.0543, -0.055, -0.057300000000000004, -0.0658], [0.061000000000000006, 0.063, 0.0597, 0.06420000000000001]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.02514192454156342, 0.028302081821997116], "op... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
58b7c564994d921beb054319f164fa81 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"sour... | {"states": [480, 488], "expectation_value": -4.145738745138328, "params": [0.3002, 0.3057, 0.2997, 0.3074, 0.3045, 0.30210000000000004, 0.3007, 0.2963, -0.0035, -0.0057, 0.29500000000000004, 0.2938, 0.09340000000000001, 0.0937, 0.0942, 0.097, -0.015600000000000001, -0.0131, 0.3057, 0.3045, 0.3062, 0.3055, 0.29810000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(5) | 13 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010110", "000111001", "000011101", "000110011", "000010111"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.8685405469206824) q[0];
rz(0.8410407647917468) q[0];
rx(2.8846356288216204) q[1];
rz(-0.43206310683513927) q[1];
rx(-3.04455057157006) q[2];
rz(0.19647445773491246) q[2];
rx(2.8788972014629954) q[3];
rz(1.7840905938186324) q[3];
rx(-0.2068033013469099) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
0,
-0.5,
-1,
-0.5,
0
] | 0.973384 | [
2.8685405469206824,
0.9078741148319212,
2.8846356288216204,
-0.6565338093120668,
3.238634735609527,
-0.12196752472478459,
2.8788972014629954,
1.6488436935617945,
-0.2068033013469099,
-0.7181293183843358,
3.123240908665624,
0.44153230122087794,
-0.20079057745508144,
-0.020246438691377718,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 18 |
16e531ebd5c4fa365456c9500ea8e716 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [998, 934], "expectation_value": -1.8033622189512495, "params": [[[0.5886, 0.09240000000000001], [0.5994, 0.050800000000000005], [0.5878, -0.015700000000000002], [0.5017, -0.0055000000000000005], [0.5978, -0.059500000000000004], [0.38370000000000004, 0.027200000000000002], [0.1699, 0.0779], [0.3829, 0.6016],... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIZZIIIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIIZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
4b4df5d05df608c0366af92253893227 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.769569105886202, "params": [0.0031000000000000003, 0.502, -0.0026000000000000003, 0.599, 0.0023, 0.5999, 0.0022, 0.5874, 0.0028, 0.6023000000000001, 0.0023, 0.5870000000000001, 0.0025, 0.5976, 0.002, 0.6108, 0.8058000000000001, 0.0037, 0.0031000000000000003, -0.1925, -0.002600... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07637812189088654) q[0];
rz(-0.031662487070781786) q[0];
rx(0.03006134840422924) q[1];
rz(0.009404066348106976) q[1];
rx(0.030061348404229242) q[2];
rz(0.0003548583340777789) q[2];
rx(0.03006134840422924) q[3];
rz(0.0980014272162335) q[3];
rx(-0.022922211057974238)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
0,
0.75,
-1.25,
0,
1
] | 0.974044 | [
0.07637812189088654,
-0.09440168892613927,
0.030061348404229242,
0.08536205555556856,
-0.025878329910601128,
0.017053295738432672,
-0.022922211057974238,
0.04609335158263715,
-0.1446803862162822,
0.10750055413767842,
0.1605299272953793,
0.16234299225842572,
2.1505603347659568,
-0.018128199... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 4 |
eedfffae46889ceabb09be93decddfde | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [117, 53], "expectation_value": -2.6008965855208523, "params": [-0.0102, 0.3548, 0.4214, 0.2849, 0.6039, 0.0001, 0.5995, 0.0013000000000000002, 0.0031000000000000003, 0.4504, 0.5983, 0.006900000000000001, -0.0077, 0.3498, 0.6, 0.1801, -0.013800000000000002, 0.3678, 0.4045, 0.3556, 0.6059, 0.01380000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["11001010", "01101010", "10011001", "10001110", "10001011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZZII",
"IIZIZZII",
"IIZZIZII",
"IIZZZIII",
"IIZZZZII",
"IIIIIZIZ",
"IZIIZIII",
"ZZIIIIII",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
-0.125,
-0.125,
-0.625,
0.125,
-0.5,
-0.25
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
a65bdaf60e66a622c13976e1c056385e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [145, 147], "expectation_value": -5.19205572526024, "params": [0.25, 0.0008, 1.7065000000000001, 0.005200000000000001, -0.003, 0.0047, -0.0018000000000000002, 0.0, 1.6988, 0.008, -0.0023, 0.0076, 1.3427, 0.006, 1.6520000000000001, 0.0073, 1.7006000000000001, 0.0012000000000000001, 0.0081, 0.0011, 0.009600000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101110", "101101100", "101011010", "101101010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.017203086494322173) q[0];
rz(-0.16485550758692202) q[0];
rx(-3.0907919306553993) q[1];
rz(0.4340175809339568) q[1];
rx(0.028086529338398572) q[2];
rz(0.0415372439803523) q[2];
rx(-0.08608573625720749) q[3];
rz(0.16616792169983263) q[3];
rx(2.9655114924974955) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZZI",
"ZIIZIIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1,
-1,
-0.5,
-2,
-0.5,
0
] | 0.983045 | [
0.017203086494322173,
-0.28633867818277103,
3.1923933765241874,
0.46033252573083216,
0.028086529338398572,
0.0932186230552938,
-0.0860857362572075,
0.1577366456694093,
2.9655114924974955,
-0.5652534856633962,
0.11135294811990681,
0.047353965319694574,
0.3248931922960932,
0.4218632830517473... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 16 |
92e0d9744e7b0376f2c61fec7a621b77 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 56], "expectation_value": -0.3200095618190155, "params": [[-0.0341, -0.0448, -0.046400000000000004], [0.0309, 0.0506, 0.057300000000000004]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.019626627190786266, 0.020285216120782074], "optimization_time": 3.19172263... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [8, 9], "expectation_value": -1.433746944919219, "params": [0.9097000000000001, 0.1022, 0.9083, 0.007200000000000001, 0.2661, 0.6111, 0.2439, 0.0011, -0.0029000000000000002, -0.6568, -0.0029000000000000002, 0.0022, 0.8994000000000001, 0.11130000000000001, 0.8993, 0.0022, 0.19190000000000002, 0.6631, -0.602, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
01a8e5f0e4da72adfede252ce1ffa4f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [1, 5], "expectation_value": -8.749987375523228, "params": null, "bitstrings": ["111111110", "111111010"], "total_optimization_steps": 26, "probabilities": [0.24999684388415405, 0.2499968438841541], "optimization_time": 38.74461889266968} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.75, "smallest_bitstrings": ["100001000", "111111110", "101111110", "101111010", "111111010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.0003043401445231292) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.0003043401445231292) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-1.5554266052084793) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-1.... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.25,
1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-2.25,
0.5,
-0.5,
0.5,
1.25,
0.25,
0.75
] | 0.788024 | [
-0.0003043401445231292,
-0.19125521550259847,
0.012446267535906427,
-1.5554266052084793,
-1.5560670679201591,
-1.5704086325376356,
1.5706897146604286,
0.00014726774714460966,
1.5624061642404066,
1.56802099486594,
-1.5567778854571377
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 353 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [247, 239], "expectation_value": -7.907451364500949, "params": [[0.035, 0.0219, 0.060500000000000005, 0.0942], [-0.1432, -0.1298, -0.1101, -0.135]], "bitstrings": ["100001000", "100010000"], "total_optimization_steps": 20, "probabilities": [0.009659327848679424, 0.010523070097456712], "optimization_time": 16... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
6be29fcf64186db29d8d06f08ec325c6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -37.520031527174744, "params": [[0.0378, -0.0073, -0.0995, -0.011300000000000001], [-0.14780000000000001, -0.14500000000000002, 0.108, 0.12710000000000002]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 20, "probabilities": [0.06119404114380609, 0.07664... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
4.5,
14.5,
9.5,
4.5,
9.5,
4.5,
16.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
6240facbcac03ac60847995c8221b912 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -1.4040056700627455, "params": [[-0.08460000000000001, -0.0819], [0.0784, 0.0767]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004606065210023392, 0.005035739034700451], "optimization_time": 3.8550562858581543} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0046977098774302496) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.012269863936092744) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.01562822642382422) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.013100666109334625... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.25,
0.5,
-0.25,
-2.5,
0.5,
0.25,
-0.25,
0.5,
0,
1.25
] | 0.97208 | [
-0.0046977098774302496,
0.012269863936092744,
0.01562822642382422,
0.013100666109334625,
0.5369349309225615,
1.6360153546291618,
1.5825548729034598,
1.6537585943579427,
2.153860546154924,
1.4736137931055673,
-1.538693100576994,
1.3642954316225193,
0.016598763102727992,
-0.5286694379827523,... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 369 |
a5f43532e1723f6087760e0dbad85b40 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -24.15540143805376, "params": [[-0.0256, 0.002], [0.0724, 0.066]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005307881194861284, 0.005947483379206236], "optimization_time": 4.101777791976929} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06902538762803077) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.06902538762803077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.06902538762803077) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.06902538762803077) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
6,
22.5,
20,
14.5,
-1.5,
8.5,
23.5,
8.5
] | 0.971024 | [
0.06902538762803077,
-1.3393452961497425,
0.8885669704223492,
-1.684941583646161,
-1.4324485039798671,
0.7894781332301564,
1.2549217022731878,
-1.8131259633031465,
1.439858056165493,
-0.5950565895064822,
-0.8478317544031627,
-0.18499509550347304,
-0.3500606076077326,
-1.0914618775797964,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 65 |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -0.05171462437349986, "params": [[0.035500000000000004], [-0.0368]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.016116822403917062, 0.016116822403917062], "optimization_time": 1.1124818325042725} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
1976951548555572864 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2], [1, 3], [0, 2, 3], [4, 5], [0, 2, 5], [3, 4], [2, 4]]} | {"states": [50, 13], "expectation_value": -0.06285419620751555, "params": [[-0.0702], [0.0708]], "bitstrings": ["001101", "110010"], "total_optimization_steps": 10, "probabilities": [0.017298716478953174, 0.017517218650917467], "optimization_time": 0.5055537223815918} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.3333333333333335 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 4.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.3670514415247106) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.07708818256327428) q[1];
h q[2];
ry(1.4706462425619748) q[2];
h q[3];
h q[4];
ry(-0.07708818256327428) q[4];
cx q[3], q[4];
ry(0.07708818256327428) q[4];
cx q[3], q[4];
cx q[3], q[1];
ry(0.07708818256327428) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333335,
0,
0.16666666666666674,
0.3333333333333333,
0,
0.16666666666666663
] | 0.97343 | [
1.1792642159953557,
-0.15417636512654856,
1.4706462425619748,
-0.57330578017097,
0.5912917763734167,
-1.0711155068668459,
0.9028578955469626,
-0.602144316824511,
0.6907408664266727,
-0.5945047326953977,
0.000057766779036572125,
-0.38233739862397187,
0.7167236203718801,
-0.766018202531083,
... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 16 |
2867969dc52573a39fa9fdcf5a20e2a9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -29.490802448194245, "params": [-0.33230000000000004, 0.0031000000000000003, 0.3577, 0.0077, 0.002, 0.5598000000000001, 0.0029000000000000002, 0.007, 0.002, 0.5862, 0.0021000000000000003, 0.0037, 0.8044, 0.0001, 0.81, 0.0, 0.0019, 0.6041000000000001, 0.002, 0.000900000000000000... | -1.0 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -1.0 * (Z(11) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -2.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7... | 6 | 12 | 1 | {"smallest_eigenvalues": [-31.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.75, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 32.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.13216340852301053) q[0];
rz(1.927920203544259) q[0];
rx(-0.21988266041964996) q[1];
rz(2.096900070253122) q[1];
rx(0.036554571528492376) q[2];
rz(1.9237170491567497) q[2];
rx(0.7442997904328555) q[3];
rz(1.369286847482023) q[3];
rx(0.07487588420167163) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZIZ",
"IIIZIIIIIZII",
"IIIIIZIZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIIIIIIZIIZ",
"IIIIIZIIZ... | [
-1,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.25,
-1.5,
-1,
-2.25,
-0.5,
-1,
-0.5,
-1.25,
-0.5,
-2,
3.25,
-0.5,
-0.25,
-0.25,
-3,
-0.5,
-0.25,
-0.75,
-0.25,
-1.25,
-1,
-0.25,
-0.5,
-0.75,
-1.25,
-0.25,
-1,
-1.25,
-1.5,
-1,
-3.5,
-0.25,
0.25,
-1,... | 0.97411 | [
0.1321634085230105,
0.35712387674936225,
-0.21988266041964993,
0.5261037434582257,
0.03655457152849238,
0.35292072236185246,
0.7442997904328555,
-0.20150947931287427,
0.07487588420167164,
0.3587871423086355,
-0.17895100229438263,
0.35377571688751674,
-0.11796936603024855,
0.604653931839564... | {
"n_parameters": 96,
"n_qubits": 12,
"optimal_eigenvalue": -31.75,
"target_ratio": 0.97,
"target_value": -30.7975
} | 9 |
-8383149207643838478 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [59, 196], "expectation_value": -0.05133325586356826, "params": [[-0.0603], [0.0616]], "bitstrings": ["11000100", "00111011"], "total_optimization_steps": 10, "probabilities": [0.004319867315842312, 0.004319867315842312], "optimization_time": 0.5284204483032227} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100", "00111011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.1168593180343272) q[2];
cx q[1], q[2];
ry(0.1168593180343272) q[2];
cx q[1], q[2];
ry(1.27743452664494) q[1];
ry(-0.8186036922962693) q[2];
h q[3];
ry(-0.8092632915704292) q[3];
h q[4];
ry(-0.1168593180343272) q[4];
h q[5];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973015 | [
-0.2337186360686544,
1.328529471338759,
-0.566890974687518,
-0.17072008040662423,
1.6303906463768827,
-1.311373334576259,
1.21625714175965,
-0.9183739620317674,
-1.6185265831408584,
-0.10218988938763793,
-0.014936225455027069,
0.7368090510232139,
-0.5034254352175025,
-0.3742060800664895,
... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 22 |
05514a606dbec7e55e2ac5ce12f9f75b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [511, 255], "expectation_value": -0.6959950284399183, "params": [[0.053000000000000005], [-0.044000000000000004]], "bitstrings": ["1000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.0013118202579772665, 0.0013122064300152476], "optimization_time": 2.8752307891845703} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
ry(0.8268792015905144) q[2];
h q[3];
h q[4];
h q[5];
ry(0.7488120613381968) q[5];
h q[6];
ry(0.7488120613381968) q[6];
h q[7];
ry(0.7488120613381968) q[7];
h q[8];
h q[9];
cx q[9], q[5];
ry(-0.7488120613381968) q[5];
cx q[9], q[5];
cx q[5], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-1.5,
-1.5,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
-1.5,
-2.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.930393 | [
1.4976241226763936,
1.4087226032883953,
0.5925903346127331,
-0.060675828750480776,
0.009081530359593457,
1.490895193830993,
0.014829929429586743,
0.009893077389786651,
0.005419490494305174,
1.6537584031810288,
0.23939540441261495,
1.2679969072269819,
-0.009361710562537933,
-0.0181732077038... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 500 |
5127720150586183637 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 10, 7], [0, 1, 3, 4, 8], [2, 6, 7], [1, 2, 3, 8, 9, 10], [1, 5, 9], [0, 1, 2, 5, 6, 8, 10], [8, 3, 5, 6], [4, 5], [8, 10, 3, 7], [0, 1, 2, 3, 8, 9], [0, 4, 6, 8, 9], [1, 3, 5, 7, 10], [0, 5, 6, 9, 10]]} | {"states": [1470, 1454], "expectation_value": -2.711531864072125, "params": [1.4845000000000002, -0.1694, 1.1574, 0.009300000000000001, 0.8829, 0.34340000000000004, 0.677, 0.0021000000000000003, 1.4953, -0.31170000000000003, 1.4702000000000002, 0.007500000000000001, 1.4901, -0.18580000000000002, 1.4252, 0.0031000000000... | 0.24047619047619045 * (Z(0) @ Z(10)) + 0.3 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.10714285714285715 * (Z(1) @ Z(10)) + 0.10714285714285715 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(7)) + 0.16666666666666669 * (Z(3) @ Z(10)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(7)) + 0.166... | 6 | 11 | 1 | {"smallest_eigenvalues": [-3.3095238095238093], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1595238095238107, "smallest_bitstrings": ["01001010001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.104076671315563) q[0];
rz(1.4244440377283567) q[0];
rx(0.45262222436996213) q[1];
rz(1.9363680823326925) q[1];
rx(1.9979908354833118) q[2];
rz(1.6671454033231026) q[2];
rx(2.1517827229202826) q[3];
rz(1.4270448951483887) q[3];
rx(-0.1456145359205948) q[4];
rz(1.11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIZ",
"ZIIZIIIIIII",
"IIIZIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIIIZZ",
"IIIZIIIIIZI",
"ZIIIIIIZIII",
"IIIIIIIZIIZ",
"IIIZIIIZIII",
"IIIIIIIZIZI",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIZIIIIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IIZIIIZII... | [
0.24047619047619045,
0.3,
0.16666666666666666,
0.10714285714285715,
0.10714285714285715,
0.05,
0.16666666666666669,
0.08333333333333334,
0.13333333333333333,
0.16666666666666669,
0.1,
0.05,
0.05,
0.14047619047619048,
0.15714285714285714,
0.08333333333333333,
0.14047619047619048,
0.... | 0.97078 | [
2.104076671315563,
-0.14635228906653977,
0.4526222243699622,
0.365571755537796,
1.9979908354833118,
0.09634907652820551,
2.1517827229202826,
-0.14375143164650797,
-0.1456145359205948,
-0.4581167924197067,
2.0916790905951546,
-0.014910346496508763,
0.567039588260853,
0.3195135607327648,
1... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -3.3095238095238093,
"target_ratio": 0.97,
"target_value": -3.210238095238095
} | 204 |
b4386623ef42d59378644c97d49e9610 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [125, 93], "expectation_value": -49.81469187584369, "params": [0.316, 0.3199, 0.8974000000000001, 0.1486, 0.5442, 0.31020000000000003, 0.9001, 0.2217, 0.8977, -0.0012000000000000001, 0.8966000000000001, -0.014, 0.45780000000000004, 0.26030000000000003, 0.9001, 0.1638, 0.315, 0.30960000000000004, 0.8927, 0.13... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 3 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08721884646855041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08721884646855041) q[2];
cx q[1], q[2];
h q[3];
cx q[2], q[3];
rz(0.08721884646855041) q[3];
cx q[2], q[3];
rz(-1.0730503463760335) q[3];
rx(1.105039714593039) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
2,
7,
5.5,
18,
19,
5,
10.5
] | 0.977482 | [
0.08721884646855041,
-1.310400955301092,
0.8609257949685372,
1.1797804650125223,
-1.0730503463760335,
-1.7402874989964554,
-1.2157574997078007,
0.7222803303040167,
-1.250584025873095,
1.1050397145930393,
-0.2453067931826156,
-0.48065206144719297,
0.5272825792139454,
-0.38909403682682453,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 62 |
6108946485159881297 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 5, 6, 7], [0, 2, 3, 4, 5, 6], [0, 1, 4, 6, 7], [1, 2, 6, 7], [0, 4, 5, 7], [0, 1, 2, 3, 5, 7], [0, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [238, 95], "expectation_value": -1.0774438846768302, "params": [[-0.3788], [0.37770000000000004]], "bitstrings": ["00010001", "10100000"], "total_optimization_steps": 40, "probabilities": [0.009754218282224978, 0.009973477496376398], "optimization_time": 2.0969321727752686} | 0.15 * (Z(0) @ Z(2)) + 0.16666666666666669 * (Z(5) @ Z(2)) + 0.2 * (Z(5) @ Z(0)) + 0.2 * (Z(6) @ Z(2)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.150000000000000... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.008574647534355821) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.009564789982422973) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.01660454813359035) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.01660454813... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIZIZII",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIIIIZZI",
"IIIIIIZ... | [
0.15,
0.16666666666666669,
0.2,
0.2,
0.16666666666666669,
0.08333333333333334,
0.25,
0.25,
0.21666666666666667,
0.21666666666666667,
0.15000000000000002,
0.1,
0.11666666666666667,
0.06666666666666667,
0.11666666666666667,
0.11666666666666667,
0.2,
0.16666666666666669,
0.116666666... | 0.970083 | [
-0.008574647534355821,
0.009564789982422973,
0.01660454813359035,
0.015871694452680583,
0.01273862605986649,
0.026962716782215977,
0.17126488869980203,
-0.04160570671757506,
-0.016710865705634223,
0.1195508517879045,
0.06190670636522236,
0.04529497856902312,
-1.5789711315724795,
-1.7093567... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -1.7000000000000004,
"target_ratio": 0.97,
"target_value": -1.6490000000000002
} | 117 |
5790406016412728325 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [232, 170], "expectation_value": -3.4758798165673483, "params": null, "bitstrings": ["00010111", "01010101"], "total_optimization_steps": 60, "probabilities": [0.050625936181652655, 0.8633410084464144], "optimization_time": 84.67232084274292} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.635763704531231) q[0];
rz(1.48137303344172) q[0];
rx(-0.17368266947137756) q[1];
rz(1.2637169320858472) q[1];
rx(1.6021445203024456) q[2];
rz(1.6105151178959378) q[2];
rx(-0.022612302891672303) q[3];
rz(1.0501545357205941) q[3];
rx(1.3104265219786095) q[4];
rz(1.66... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IIIIIIZZ",
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0.16666666666666696,
0,
0,
0.16666666666666663,
0.16666666666666666
] | 0.970995 | [
1.635763704531231,
-0.08942329335317621,
-0.17368266947137756,
-0.30707939470904966,
1.6021445203024456,
0.03971879110104138,
-0.022612302891672306,
-0.520641791074303,
1.3104265219786098,
0.09328077409473279,
0.38069206610933704,
-0.0728610927175935,
0.6564711144547959,
0.1729576100770851... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.8333333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333333
} | 72 |
1054149826045979276 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 6, 7, 8], [0, 2, 3, 5, 6, 9], [2, 3, 4, 5, 6, 7], [1, 2, 4, 6, 8, 9], [0, 5, 6, 7], [1, 3, 5], [1, 4, 5], [9, 4, 5, 6], [0, 3, 4, 5, 7, 8], [1, 5, 9], [0, 1, 2, 3, 7, 8, 9], [8, 2, 5, 6], [0, 1, 2, 3, 4, 6, 8], [1, 2, 3, 4, 7, 8]]} | {"states": [215, 247], "expectation_value": -2.2433279041786216, "params": [0.734, 0.4627, 0.7312000000000001, 0.0056, 0.6673, 0.46490000000000004, 0.6745, 0.006200000000000001, 1.3992, -0.2559, 1.3948, 0.0098, 1.3848, -0.2897, 1.374, 0.0064, 0.8998, 0.5288, 0.8742000000000001, 0.0035, 1.4227, 0.2702, 1.414000000000000... | 0.14761904761904762 * (Z(1) @ Z(2)) + 0.18095238095238095 * (Z(3) @ Z(2)) + 0.28095238095238095 * (Z(3) @ Z(1)) + 0.24047619047619048 * (Z(6) @ Z(2)) + 0.09047619047619047 * (Z(6) @ Z(1)) + 0.12380952380952381 * (Z(6) @ Z(3)) + 0.12380952380952381 * (Z(7) @ Z(2)) + 0.09047619047619047 * (Z(7) @ Z(1)) + 0.15714285714285... | 7 | 10 | 1 | {"smallest_eigenvalues": [-3.0999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0809523809523807, "smallest_bitstrings": ["1100001000"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6416423293791566) q[0];
rz(0.5185704268727407) q[0];
rx(0.2044171694210597) q[1];
rz(0.24895456642506214) q[1];
cx q[1], q[0];
rz(-0.35935218595000007) q[0];
cx q[1], q[0];
rx(0.816203342548467) q[0];
rz(0.09213052574679972) q[0];
rx(-0.27843104796829576) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ"... | [
0.14761904761904762,
0.18095238095238095,
0.28095238095238095,
0.24047619047619048,
0.09047619047619047,
0.12380952380952381,
0.12380952380952381,
0.09047619047619047,
0.15714285714285714,
0.15,
0.23095238095238094,
0.14761904761904762,
0.14761904761904762,
0.1738095238095238,
0.12380952... | 0.970633 | [
0.6416423293791566,
0.15921824092274056,
0.2044171694210597,
0.24895456642506214,
1.5742917466674538,
-0.1324217856801178,
1.3885762939185002,
-0.04349789936207136,
1.4025665898159545,
0.2196100751808785,
1.433779436329175,
-0.04908765132475621,
-0.0026975382564086436,
0.9933708503556172,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.0999999999999996,
"target_ratio": 0.97,
"target_value": -3.0069999999999997
} | 27 |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.5546208352081903, "params": [[0.0746], [-0.0611]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009745205230950904, 0.010843129151574931], "optimization_time": 2.147662878036499} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7064181295083226) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.5297412730546158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5297412730546158) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.17200761046108... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
2,
-0.25,
-1.25,
-1,
-0.25,
0.25,
-0.25,
-1.5,
2.25,
-0.75,
1.5,
-1.5
] | 0.970254 | [
-0.7064181295083226,
-0.5297412730546158,
-0.17200761046108173,
-0.6740578736102405,
0.8462304399433741,
-0.026248018073850438,
-2.2768178154757654,
-0.5136227084208217,
-2.491855359334902,
1.952256177134018,
-3.0458677864148798,
0.7066984414159515,
0.5264021877728264,
0.1704299764678417,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 230 |
4ab3a9f98a5ea141820b159d6cb4ba53 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -7.545316975885489, "params": [[[0.0026000000000000003, 0.0019], [0.0027, 0.0097], [0.0025, 0.0078000000000000005], [-0.0027, 0.007500000000000001], [0.0025, 0.0027], [0.0027, 0.0043], [0.0026000000000000003, 0.004], [1.601, 0.0098]]], "bitstrings": ["11111111", "11111110"], "tot... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.0013706428279065723) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.00010981936015503954) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0013706428279065723) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIII... | [
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
1.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-2,
0.25,
-0.5,
0.75,
0.25,
0
] | 0.888779 | [
-0.0013706428279065723,
-0.00010981936015503954,
-0.34349356379920065,
0.00130053351478626,
-0.04402465492122473,
0.3214620856398223,
-1.3872688537466278,
1.3541775381691896,
1.2769370230312556,
0.2943504933839812,
-1.6935386960659888,
-0.0012981114320172187,
-0.0032326859986172365,
-1.409... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 500 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -3.087199241214848, "params": [[-0.0388, -0.021, -0.07780000000000001], [0.054400000000000004, 0.0171, 0.0678]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.09638907089588832, 0.0963890708958884], "optimization_time": 2.163701057434082} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 6 | 4 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
2645505044049809267 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [2, 3], [0, 3], [2, 5]]} | {"states": [42, 56], "expectation_value": -0.03503472270252997, "params": [[-0.0688], [0.0645]], "bitstrings": ["010101", "000111"], "total_optimization_steps": 10, "probabilities": [0.016741595341716563, 0.016741595341716563], "optimization_time": 0.960017204284668} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "101010", "000111", "010101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.13432528118945736) q[1];
h q[2];
h q[3];
ry(-0.13432528118945736) q[3];
cx q[2], q[3];
ry(0.13432528118945736) q[3];
cx q[2], q[3];
ry(-0.0960315850656513) q[3];
cx q[0], q[3];
ry(0.0960315850656513) q[3];
cx q[0], q[3];
ry(0.73366785422652) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.976452 | [
-0.2686505623789147,
1.3693005060134478,
-0.1920631701313026,
1.46733570845304,
1.5022085793298199,
-1.3133268837738652,
0.0916533804956387,
-0.9446679021914588,
-0.6539070944851556,
0.19733212382315723,
-0.10455941497032131,
0.557510347365424,
-0.10416083447807789,
-0.17483211493831083,
... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 36 |
-5198790762815403122 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5], [8, 4, 5, 6], [0, 1, 2, 3, 8], [1, 4, 6], [3, 6], [2, 3, 7], [1, 7], [0, 1, 4], [0, 6], [8, 1, 2, 6]]} | {"states": [371, 497], "expectation_value": -1.2357154236619157, "params": [[0.3758], [-0.3635]], "bitstrings": ["010001100", "000001110"], "total_optimization_steps": 40, "probabilities": [0.0082910770915221, 0.008298184866231979], "optimization_time": 5.243368148803711} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9166666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7000000000000006, "smallest_bitstrings": ["000001110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(1.4556523674956618) q[1];
ry(-2.198020586987804) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3901767212168554) q[3];
h q[4];
ry(0.2417859580614178) q[4];
h q[5];
ry(-0.18949976573518898) q[5];
h q[6];
ry(-0.4485107366443361) q[6];
cx q[0], q[6];
ry(0.44851073664... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIZIIIZ",
"IIIZZIIII",
"ZIIIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"... | [
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.25,
0.05,
0.21666666666666667,
0.13333333333333333,
0.333333333333333... | 0.973677 | [
1.4556523674956618,
1.3901767212168554,
-1.4504883412238283,
-0.8970214732886722,
0.7682111487751676,
-0.8542991657170399,
1.1386514576037496,
0.6071644906111078,
-0.2881734674849299,
0.20816664693573927,
0.4073711229381658,
0.4835719161228356,
0.4910690738192738,
0.38937195364756955,
-0... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2.9166666666666674,
"target_ratio": 0.97,
"target_value": -2.8291666666666675
} | 12 |
59fd21ea2b55a2e037d0d32565c3c359 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -22.76806525157145, "params": [-0.368, 0.008700000000000001, -0.09390000000000001, -0.0059, 0.0025, 0.3074, 0.0036000000000000003, 0.2999, 0.3991, 0.003, 0.40080000000000005, 0.003, -0.0043, 0.2948, 0.0079, 0.3178, 0.057100000000000005, 0.15560000000000002, -0.0241, 0.243300000... | -1.25 * (Z(0) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(9)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.75 * (Z(10) @ Z(1)) + -1.25 * (Z(10) @ Z(6)) + -1.75 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.2581622970951301) q[0];
rz(1.6102613963134367) q[0];
rx(-0.04545757177016238) q[1];
rz(2.0869160088731196) q[1];
rx(0.5915809980385877) q[2];
rz(1.5133026643637582) q[2];
rx(0.048277775561268645) q[3];
rz(1.7667338418047223) q[3];
rx(-0.1405080401866239) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIIZ",
"IIIIIIIIZIZ",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IIIIIIZIZII",
"IIIZZIIIIII",
"IIIZIIIIZII",
"IZIZIIIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"ZIIIIIIIIZI",
"ZIIIZIIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"IIZZIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.25,
-1.75,
3.25,
-1,
-1.75,
-0.75,
-1.75,
-0.5,
-1.25,
-1.25,
-1.5,
-1.75,
-1.25,
-1.75,
-1.75,
-1,
-1.5,
-3.75,
-0.25,
2.5,
2,
-1.75,
-0.5,
1.25,
-1,
2,
1,
-1.5
] | 0.975048 | [
-0.25816229709513017,
0.03946506951854119,
-0.04545757177016239,
0.5161196820782228,
0.5915809980385878,
-0.0574936624311386,
0.04827777556126864,
0.19593751500982592,
-0.14050804018662394,
0.3565958177693104,
0.08975268394102309,
0.25171045074159426,
0.1543266227282375,
0.3051591386060496... | {
"n_parameters": 101,
"n_qubits": 11,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 9 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -3.4855766858015387, "params": [[0.0665], [-0.060000000000000005]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.020537916774436924, 0.021194333768662685], "optimization_time": 2.1462562084198} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
cf9a1540b011355d554ff1ed574e9153 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 188.94500613212585} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
3107297605987101856 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 3], [2, 3], [0, 7], [8, 1], [5, 7], [0, 5], [2, 7], [5, 6], [1, 4], [1, 5]]} | {"states": [341, 456], "expectation_value": -0.09650921375214479, "params": [[-0.0616], [0.0728]], "bitstrings": ["010101010", "000110111"], "total_optimization_steps": 10, "probabilities": [0.002204904724741864, 0.002204904724741864], "optimization_time": 0.6710338592529297} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111010", "101011001", "111001000", "111000100", "101010101", "000110111", "111000101", "010101010", "101011000", "010100111",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.24338526756378928) q[0];
rz(1.3775286711832244) q[0];
rx(1.7438166557555914) q[1];
rz(1.4005726728400862) q[1];
rx(0.5142596008944468) q[2];
rz(1.5520132917567944) q[2];
rx(1.2779392895288917) q[3];
rz(1.6459959252222838) q[3];
rx(0.14217536573378592) q[4];
rz(1.78... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIIIZIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974041 | [
0.24338526756378925,
-0.193267655611672,
1.7438166557555916,
-0.17022365395480996,
0.5142596008944468,
-0.018783035038102337,
1.2779392895288917,
0.07519959842738755,
0.14217536573378592,
0.21700841349356806,
1.2816996439890047,
-0.1649551535726996,
-0.20257561495223203,
-0.437930511158727... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 87 |
cf63e2458a0741acd2ef8c128602eb3a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [75, 67], "expectation_value": -4.6164383843086, "params": [0.3014, 0.2972, -0.0024000000000000002, 0.0011, -0.0046, 0.0028, 0.1003, 0.09870000000000001, 0.0063, 0.009600000000000001, 0.3033, 0.303, 0.2978, 0.3029, 0.3054, 0.3017, -0.0006000000000000001, 0.0043, 0.0025, -0.0019, 0.1005, 0.1057, 0.01070000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
0
] | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
a8c99ad184c02bf7f13319ba9d22eb58 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [159, 15], "expectation_value": -1.8414647194203133, "params": [[-0.0879], [0.0815]], "bitstrings": ["01100000", "11110000"], "total_optimization_steps": 10, "probabilities": [0.00701477853398748, 0.007445181105357586], "optimization_time": 1.65364670753479} | 1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.5 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.058200692585709604) q[0];
rz(1.1536074517732615) q[0];
rx(-0.05320464735071337) q[1];
rz(2.9916774222293405) q[1];
rx(-0.0869520452951964) q[2];
rz(-2.7598713039206553) q[2];
rx(-0.06961078237795613) q[3];
rz(1.8794311396732049) q[3];
rx(1.0515006429022484) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
1,
-2,
0.5,
-2.5,
-2,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
-2,
-1.5,
1.5,
0.5,
0.5,
0.5,
0.5
] | 0.97262 | [
0.058200692585709604,
-0.41718887502163476,
-0.053204647350713376,
1.4208810954344449,
-0.08695204529519639,
1.9525176764640346,
-0.06961078237795615,
0.3086348128783069,
1.0515006429022484,
0.9387261317410205,
-0.5983236066789881,
-0.23366172667469243,
0.8349487785577835,
1.67199071961368... | {
"n_parameters": 157,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 323 |
ac1f174c7c8aefd4d3fe63daa83b99d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [503, 511], "expectation_value": -9.922020293890622, "params": [1.6958, -0.0112, 0.0035, 0.0091, -0.1173, 1.7014, -1.5909, 0.0058000000000000005, 2.0659, 0.0154, -0.8181, 0.0077, -2.0564, -0.0148, 0.2828, 0.0044, -1.7928000000000002, 0.0927, 0.2059, 0.006200000000000001, -0.42000000000000004, 2.3181000000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.78394604932781) q[0];
h q[1];
ry(-0.0032434023779111705) q[1];
h q[2];
cx q[2], q[0];
ry(-0.78394604932781) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(0.0032434023779111705) q[1];
cx q[0], q[1];
ry(2.635476633840907) q[0];
ry(1.7640206425411538) q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
0.5,
-1.5,
-2,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.934748 | [
0.449206498865341,
1.56789209865562,
1.2315751440251939,
2.0935582032832687,
0.9606136929073632,
-0.006486804755822341,
2.635476633840907,
0.44855704008979325,
1.7249132980744837,
1.6068138992675811,
-0.3051166391100603,
-0.46114860020241605,
2.3983895329462612,
-1.5814129982760357,
1.05... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
f5d94ed048c28683c088d45a2d452aca | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [172, 236], "expectation_value": -3.063859952851643, "params": [[[-0.0041, 0.2584, 0.0092, 0.0046], [0.5753, 0.0037, 0.5700000000000001, 0.0074], [-0.19740000000000002, 0.0002, 0.0067, 0.0034000000000000002], [0.6446000000000001, -0.0064, 0.6446000000000001, 0.0038], [-0.0032, -0.4546, 0.0041, -0.4505], [0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5625, "smallest_bitstrings": ["010101010", "100011010", "100010011", "110001010"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIZI",
"ZIIZIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
... | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
16f78d4600a63f9e28571cad22ffe3ee | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [246, 182], "expectation_value": -31.535917791815116, "params": [[-0.0412, -0.0035, 0.0064, 0.003], [0.07540000000000001, 0.0678, 0.057100000000000005, 0.055400000000000005]], "bitstrings": ["100001001", "101001001"], "total_optimization_steps": 10, "probabilities": [0.013140078298329794, 0.01760389956656237... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
e6f5f7344f65c4a1f156bb9648ed863a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [662, 726], "expectation_value": -1.1515739213786773, "params": [0.8883000000000001, 0.8908, 0.6519, 0.6533, 0.9102, 0.9098, 0.8842000000000001, 0.8856, -0.002, -0.0018000000000000002, 0.9053, 0.9006000000000001, 0.6598, 0.6618, 0.901, 0.9041, 0.9087000000000001, 0.9052, 0.44680000000000003, 0.4535, -0.30110... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["0101100001", "0100101001", "1000101001"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1374338262775128) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5141024789065256) q[1];
h q[2];
ry(-1.5141024789065256) q[2];
h q[3];
ry(1.4590942705866212) q[3];
h q[4];
ry(1.4590942705866212) q[4];
h q[5];
ry(-0.5141218154998566) q[5];
h q[6];
cx q[6], q[5];
ry(0.5141218154... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIIIZZIZ",
"IIIIZIIZIZ",
"IIIIIZIZIZ",
"IIIIZIZIIZ",
"IIIIIZZIIZ",
"IIIIZZIIIZ",
"IIIIZIZZII",
"IIIIIZZZII",
"IIIIZZIZII"... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.997421 | [
-1.5141024789065256,
1.4590942705866212,
-1.0282436309997132,
0.7068623946813855,
-0.3995033358839512,
0.5047482531940948,
-0.4899081905812286,
0.27040199392320335,
-0.22448066528365312,
0.21508645779198987,
0.11251527262301743,
0.13551759362693228,
0.036679109681780155,
-0.042493123121424... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
5721bc29b750ff2e0c5d4fb6d5e7d30b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [24, 31], "expectation_value": -13.859977774447913, "params": [-0.0077, 1.0208000000000002, 0.0047, 0.9836, -0.0063, 0.7513000000000001, 0.0044, 0.8912, 0.0002, 0.9795, -0.0006000000000000001, 0.9823000000000001, 0.1338, 0.09050000000000001, 0.6991, 0.046700000000000005, 0.47950000000000004, -0.2928, 0.5066,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.05898088205563733) q[0];
rz(-0.11516861982324494) q[0];
ry(-0.11516861982324494) q[1];
rz(-0.0014218957630719592) q[1];
cx q[1], q[0];
ry(0.03363785873728879) q[1];
rz(0.12232056754132889) q[1];
ry(0.03363785873728879) q[2];
rz(1.340588803478647) q[2];
ry(-0.05898... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
-2,
-2,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975423 | [
-0.05898088205563733,
-0.11516861982324494,
-0.0014218957630719592,
0.03363785873728879,
1.340588803478647,
0.5140510440946262,
1.6881156119275331,
-0.07432694386371438,
1.1423508360410763,
0.11537448107570408,
0.280001861598485,
2.5617041670342586,
0.10075285320723114,
0.12232056754132889... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 10 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 14.231545448303223} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [0, 248], "expectation_value": -10.616228813236063, "params": [0.6599, -0.1769, 0.19460000000000002, 0.6889000000000001, 0.6603, 0.0574, 0.22820000000000001, 0.7256, 0.6604, 0.8608, 0.35300000000000004, 1.0462, 0.6555000000000001, 0.9563, 0.2594, 1.0231000000000001, 0.6386000000000001, 1.1252, 0.4842, 1.0408... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 6 | 8 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.021674064005247) q[0];
cx q[1], q[0];
rz(-0.9568489535979356) q[0];
rx(-1.4852101733885612) q[0];
rz(-0.9568489535979356) q[1];
rx(-1.4852101733885612) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5077310367674133) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.718356 | [
-3.021674064005247,
-1.5077310367674133,
-0.9568489535979353,
-0.005397137007634806,
0.0015350176540887314,
-1.4852101733885614
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 160 |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.878479882899729, "params": [[-0.0397, -0.0187, 0.057100000000000005, 0.0791], [0.0688, 0.0599, -0.0063, -0.057300000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0068716190804103735, 0.006948153875964878], "optimiz... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [22, 7], "expectation_value": -5.448068232461173, "params": [[-0.0158, 0.0388, 0.0269], [0.0367, -0.0241, -0.023100000000000002]], "bitstrings": ["11101001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005014251180935944, 0.005242673743720832], "optimization_time": 8.658418893814087} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
fcb23ca7a37befe4405c903476d4ab58 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [726, 598], "expectation_value": -112.41397454625293, "params": [-0.0017000000000000001, 0.42060000000000003, 0.7878000000000001, 0.0194, 0.0017000000000000001, 0.5137, 0.3423, 0.31020000000000003, 0.7826000000000001, 0.0047, 0.0029000000000000002, 0.5169, 0.7915000000000001, 0.1154, 0.1898, 0.30810000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(10) @ Z(9)) + 13.5 * Z(1) + -6.0 * Z(2) + 12.0 * Z(3) + 6.0 * Z(4) + ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["10110101001"], "largest_eigenvalue": 156.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03648974766561183) q[0];
rz(0.1441771620297101) q[0];
rx(0.7753118102506872) q[1];
rz(0.11311704607953717) q[1];
rx(0.03371854012735494) q[2];
rz(0.6388269332989892) q[2];
rx(0.043420664621641555) q[3];
rz(0.4516772476575264) q[3];
rx(0.5956605677144884) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIZIIIIIIIZ",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
13.5,
-6,
12,
6,
16.5,
-6,
8.5,
13,
-2.5,
15.5,
-4
] | 0.976058 | [
0.03648974766561183,
0.48439778525744687,
0.7753118102506872,
0.11311704607953717,
0.03371854012735494,
0.6388269332989892,
0.043420664621641555,
0.4516772476575264,
0.5956605677144884,
0.07817226635030064,
0.04554245490362118,
0.41070682329870123,
0.8307591358797193,
0.09733963346060318,
... | {
"n_parameters": 121,
"n_qubits": 11,
"optimal_eigenvalue": -122.5,
"target_ratio": 0.97,
"target_value": -118.825
} | 8 |
90b952fb961a71c766735ab6825a9e54 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [127, 126], "expectation_value": -15.533366414500184, "params": [[[0.0027, 3.1618], [0.0022, 0.0026000000000000003], [0.0018000000000000002, 0.002], [0.002, 0.002], [0.0026000000000000003, 0.0023], [-1.6393, 0.003], [0.0027, 0.0029000000000000002]]], "bitstrings": ["0000000", "0000001"], "total_optimization_... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 15 | 7 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.7211230628791996) q[0];
cx q[1], q[0];
rz(-0.16398683328915897) q[0];
rx(-0.9929455926320968) q[0];
rz(-0.16398683328915897) q[1];
rx(-0.9929455926320968) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.86786583963... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"IZIIZII",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
-2.5,
-2,
-2.5,
0.5,
1,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.615579 | [
-1.7211230628791996,
-0.8678658396371202,
-0.035450998169681405,
-0.1639868332891589,
-0.3487434617976659,
-0.6176749491402016,
-1.1983287456980083,
-0.4467494502468582,
-0.9929455926320968
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 223 |
5e6bd846a2e8c5217fc23acbb45e48ec | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -54.28573810890593, "params": [1.5672000000000001, 0.0097, 2.0497, 0.0045000000000000005, 2.7839, 0.0029000000000000002, 2.7915, 0.004200000000000001, 1.5079, 0.006, 2.7941000000000003, 0.009000000000000001, 2.8076000000000003, 0.0055000000000000005, -0.002, 0.0059, 0.0090000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 6.5 * Z(1) + 18.0 * Z(5) + 12.0 * Z(2) + 2... | 18 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.3949329647939448) q[0];
rz(-0.5369118026539419) q[0];
rx(2.9992432466963415) q[1];
rz(-0.559677149092149) q[1];
rx(3.1157816166806023) q[2];
rz(-0.20481988986187322) q[2];
rx(3.1391201798731703) q[3];
rz(0.05718613906543825) q[3];
rx(-0.029962620063689493) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIZII",
"IIIIZIIZ",
"IIZIZIII",
"IIIIZZII",
"IIZZIIII",
"IIIZIZII",
"IIIZZIII",
"IZIIIIIZ",
"IZIIZIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
10,
6.5,
18,
12,
25,
9.5,
13,
-5
] | 0.983611 | [
0.3949329647939448,
-0.3436100091711065,
2.9992432466963415,
-0.559677149092149,
3.1157816166806023,
-0.20481988986187322,
3.1391201798731703,
0.05718613906543825,
-0.029962620063689493,
0.12510443828438078,
2.947231277991348,
-0.3866035869656703,
3.258520454681009,
0.1665671708827488,
0... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 12 |
5bfd79024282ae69c62758a244a2de56 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -4.067135760610075, "params": [[0.06720000000000001, 0.059800000000000006, 0.046900000000000004, -0.016800000000000002], [-0.07150000000000001, -0.0656, -0.053200000000000004, -0.0318]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.0401... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
969dbed488b18fd892982f38c13bf4b6 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target... | {"states": [21914, 21930], "expectation_value": -1.7106354464144875, "params": null, "bitstrings": ["1010101001100101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.1202007041936859, 0.2718399883159083], "optimization_time": 1066.5772886276245} | 0.25 * (Z(0) @ Z(1)) + -0.0006510416666666666 * (Z(2) @ Z(0)) + -0.0006510416666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00026041666666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00026041666666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006510416666666666 * (Z... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0238715277777453], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0238715277777253, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.01050347222218} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.3713705382512211) q[0];
ry(-0.01880946364669115) q[1];
ry(1.5087879271395181) q[2];
ry(0.05433772567621215) q[3];
ry(1.455555532966253) q[4];
ry(0.03337491665943644) q[5];
ry(2.3308596918773126) q[6];
ry(1.4826171861133974) q[7];
ry(0.06751706760181153) q[8];
ry(1... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0006510416666666666,
-0.0006510416666666666,
0.25,
0.00026041666666666666,
-0.00078125,
0.00026041666666666666,
-0.00078125,
0.25,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00078125,
0.25,
0.000390625,
0... | 0.970441 | [
1.3713705382512211,
-0.01880946364669115,
1.5087879271395181,
0.05433772567621215,
1.455555532966253,
0.03337491665943644,
2.3308596918773126,
1.4826171861133974,
0.06751706760181153,
1.588390495568345,
-0.10201825471150508,
1.4130133774218798,
0.08215578763105132,
1.6010445184584388,
-0... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0238715277777355,
"target_ratio": 0.97,
"target_value": -1.9631553819444034
} | 23 |
ef8f22f83fe0492ffe205e283ddd4791 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [215, 214], "expectation_value": -51.006739491794015, "params": [0.3914, -0.29560000000000003, 0.8058000000000001, -0.0132, 0.7992, 0.1638, 0.37010000000000004, 0.3446, 0.7972, 0.10020000000000001, 0.3582, 0.2743, 0.799, 0.0047, 0.7947000000000001, 0.1258, 0.5499, 0.1802, 0.3916, -0.25670000000000004, 0.7973... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 16.5 * Z(1) + 15.0 * Z(2) + 8.0 * Z(4) + 1.5 * Z(3) + 16.5 * Z(6)... | 18 | 9 | 3 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.3094543786022124) q[0];
ry(0.14067952078459653) q[1];
ry(1.1192487611719484) q[2];
ry(0.0759777122625657) q[3];
ry(0.7643212643601128) q[4];
ry(-0.042483826489027494) q[5];
ry(0.21593637684171527) q[6];
ry(-0.22389629439867878) q[7];
ry(0.12192973951319885) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
2.5,
16.5,
15,
8,
1.5,
16.5,
1,
7,
6
] | 0.970823 | [
1.3094543786022124,
0.14067952078459653,
1.1192487611719484,
0.0759777122625657,
0.7643212643601128,
-0.042483826489027494,
0.21593637684171527,
-0.22389629439867878,
0.12192973951319885,
0.4979030697342169,
0.5388690334418704,
0.26817934902544477,
0.30180229105402145,
-0.15811585015931073... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 87 |
dbbbc4d6019a7673182b353b82b6a083 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -18.223537882597682, "params": [-0.0001, -0.1806, 0.0036000000000000003, -0.1446, -0.004200000000000001, -0.185, -0.0024000000000000002, -0.2082, -0.006900000000000001, -0.1638, -0.0, -0.2131, -0.0013000000000000002, -0.2247, -0.0016, -0.22990000000000002, -0.0032, -0.22410000000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 5 | 9 | 3 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05801375331731248) q[0];
rz(-0.19667350771320535) q[0];
rx(-0.26758040395371646) q[1];
rz(0.07473915815877774) q[1];
rx(-0.10626910776547736) q[2];
rz(-0.11601750393267096) q[2];
rx(-0.10626910776547735) q[3];
rz(-0.43722499528637826) q[3];
rx(-0.10626910776547735)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZIZII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"... | [
-0.5,
-1.25,
-1.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
2.5,
-0.75,
-1.25,
-1,
-0.25,
-1.25,
-1,
-0.75,
-1.75,
-0.5,
-1,
-1.25,
-1.25,
-0.25,
0.25,
0.75,
-2.25,
-1.75,
1,
-0.75,
4.25
] | 0.975557 | [
0.058013753317312476,
-0.028323711234742522,
-0.2675804039537165,
0.07891530781557991,
-0.10626910776547735,
-0.19747719298228392,
-0.4662318719450348,
-0.336699592956925,
0.2868092447884703,
0.1099004908748079,
-0.08929792657699955,
2.858022279518331,
0.08580303488803774,
0.25924196125400... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 6 |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 53], "expectation_value": -0.4633611985643272, "params": [[0.0345, 0.061500000000000006, 0.0545, 0.0509], [0.0092, -0.0439, -0.0442, -0.0427]], "bitstrings": ["1110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01135890225894772, 0.012096292568632707], "optimization_time": 12.5941... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3213284069120986) q[0];
h q[1];
ry(1.561227557979563) q[1];
ry(-0.5996924930716909) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.3213284069120986) q[3];
h q[4];
cx q[4], q[0];
ry(0.3213284069120986) q[0];
cx q[4], q[0];
ry(-0.6920859783029909) q[0];
ry(0.858866298320... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
0,
-0.5,
0
] | 0.976117 | [
-1.5228681084041154,
-1.391331881335179,
1.561227557979563,
-0.6426568138241971,
0.4893931357312403,
-0.39231862825062086,
0.7389463251778208,
-0.5995347001047401,
0.3967606414427418,
0.38756318595233574,
-0.14652558977380725,
-0.24590209038459773,
0.14523805156870565,
0.8404560952239467,
... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 10 |
fbc744d6879588d738fa84c3bdbbba8a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [3025, 1193], "expectation_value": -0.04659475099838295, "params": [[0.0005, 0.0694, 0.0034000000000000002, 0.0078000000000000005, 0.008, 0.0083, 0.0025, 0.00030000000000000003, 0.0091, 0.0036000000000000003, 0.008, 0.01, 0.0009000000000000001], [0.008, -0.0748, 0.004200000000000001, 0.0074, 0.00870000000000... | 9.0 * (Z(2) @ Z(1)) + 9.0 * (Z(4) @ Z(5)) + 9.0 * (Z(0) @ Z(9)) + 9.0 * (Z(8) @ Z(9)) + 9.0 * (Z(7) @ Z(9)) + 9.0 * (Z(7) @ Z(8)) + 9.0 * (Z(6) @ Z(7)) + 9.0 * (Z(10) @ Z(2)) + 9.0 * (Z(11) @ Z(5)) + 9.0 * (Z(12) @ Z(7)) + 9.0 * (Z(12) @ Z(6)) + -5.5 * Z(1) + 10.0 * Z(2) + 5.5 * Z(5) + -5.0 * Z(4) + 18.5 * Z(9) + -7.0 ... | 9 | 13 | 2 | {"smallest_eigenvalues": [-161.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["1101101010110"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
rx(0.2659658391867471) q[10];
h q[10];
rx(2.1675811166499375) q[11];
h q[11];
rx(1.0317078220663658) q[12];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15, 16]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIZZIIII",
"IIIZIIIIIIIIZ",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IIIIZZIIIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIIIZII",
"IZIIIIIZIIIII",
"ZIIIIZIIIIIII",
"ZIIIIIZIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIIIZIIII",
"IIIZIIIIIIIII",
"IIIIIIIIIII... | [
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
-5.5,
10,
5.5,
-5,
18.5,
-7,
5,
24.5,
2,
-5,
-4,
6,
-14.5
] | 0.055728 | [
1.0392822389071017,
1.5708015334017742,
-1.5836439632213495,
-1.8197389713170236,
0.2659658391867471,
-0.849419366665105,
2.004787929723314,
1.516666654659651,
-0.8272815089524833,
-0.0060913123908253,
2.1675811166499375,
1.0317078220663658,
-1.5708067534496915,
-0.00000968479273412861,
... | {
"n_parameters": 23,
"n_qubits": 13,
"optimal_eigenvalue": -161.5,
"target_ratio": 0.97,
"target_value": -156.655
} | 500 |
15a5f37f6b324be94a7fa874923284e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -6.916853647528708, "params": [[0.043300000000000005, 0.0378], [-0.039900000000000005, -0.0477]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.007115869770803368, 0.007358908790174217], "optimization_time": 8.308008193969727} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
26256902373292a4abd13f18a92cffcf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [866, 355], "expectation_value": -77.64328036567082, "params": [0.7874, 1.1229, 1.5650000000000002, 1.5761, 0.0118, -0.0158, 1.5648, 1.5715000000000001, 1.5451000000000001, 1.5904, 0.006500000000000001, -0.00030000000000000003, 0.0021000000000000003, 0.0023, 0.0055000000000000005, -0.0092, 1.9377000000000002... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(0)) + 5.0 * Z(0) + 9.5 * Z(1) + 8.5 * Z(3) + 1.0 * Z(2) + 3.0 * Z(5) + 10.0 * Z(4) + -1.5 * Z(6) + 4.0 * Z(7) + 9.0 * Z(8) + 1.0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["1010011100"], "largest_eigenvalue": 103.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5517620184670062) q[0];
rz(pi/2) q[0];
ry(1.4683898005572342) q[1];
ry(-0.045816658147982) q[2];
ry(1.7479697701707244) q[3];
ry(1.6821462499246256) q[4];
ry(0.14558453165767996) q[5];
ry(-0.027844292260355598) q[6];
ry(-0.020598016210340547) q[7];
ry(2.0495360996... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
9.5,
8.5,
1,
3,
10,
-1.5,
4,
9,
1
] | 0.971869 | [
0.5517620184670062,
1.4683898005572342,
-0.045816658147982,
1.7479697701707244,
1.6821462499246256,
0.14558453165767996,
-0.027844292260355598,
-0.020598016210340547,
2.0495360996993144,
1.480475597938699,
1.6717962510673636,
0.5964106631222437,
-0.6088768308271751,
0.4957752189584489,
-... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -80.5,
"target_ratio": 0.97,
"target_value": -78.085
} | 12 |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 14.473299741744995} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [0, 255], "expectation_value": -9.28871082614285, "params": [0.3299, 0.23800000000000002, -0.4163, 0.006, -0.02, 2.407, -0.0345, 0.0073, -0.21000000000000002, 2.7738, -0.3075, 0.00030000000000000003, -0.47750000000000004, 2.822, -0.5653, 0.007500000000000001, -0.5572, 2.9407, -0.5512, 0.0067, 0.3328000000000... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.5202516173214093) q[0];
h q[1];
h q[2];
ry(0.5715278062569107) q[2];
cx q[1], q[2];
ry(-0.5715278062569107) q[2];
cx q[1], q[2];
ry(0.28429659234530147) q[1];
h q[3];
ry(0.7018202336207273) q[3];
cx q[2], q[3];
ry(-0.7018202336207273) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971249 | [
1.1430556125138214,
1.4036404672414546,
0.5685931846906029,
-1.8176420742983512,
3.7049270364913394,
-1.3244826424435634,
0.08033236555832358,
0.021437620927761837,
1.7622398624850033,
4.127657269355664,
-0.031813532343673956,
2.3209746755197376,
3.6446693816459232,
-0.5338543781956805,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 428 |
0eaee6b22448c63c6e544649806319e4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [231, 999], "expectation_value": -0.7175904516844933, "params": [[-0.0641], [0.061900000000000004]], "bitstrings": ["1100011000", "0000011000"], "total_optimization_steps": 10, "probabilities": [0.0013696315631195732, 0.001411939425717639], "optimization_time": 1.581944227218628} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(7)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000011000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1734998941455177) q[0];
cx q[1], q[0];
ry(1.5707963393877349) q[0];
rz(-pi/2) q[0];
ry(1.5707963393877349) q[1];
rz(-pi/2) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.1734998941455177) q[3];
cx q[4], q[3];
ry(1.5707963393877349... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.767323 | [
1.1734998941455177,
2.508147770018403e-8,
1.570796344786574,
1.5707963266098846,
-1.5707963259686806,
1.5707963393877347
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 179 |
80414d2e2eb4a15dac1e8a7f58be727c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1677, 1679], "expectation_value": -2.7880587060780093, "params": [0.3335, 0.33840000000000003, 0.5004000000000001, 0.5033, 0.050800000000000005, 0.0468, 0.49810000000000004, 0.4969, 0.0368, 0.0357, 0.0409, 0.0427, 0.0391, 0.0415, 0.49420000000000003, 0.49460000000000004, 0.49250000000000005, 0.5018, 0.3209,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.5, "smallest_bitstrings": ["10000101010", "01100110000", "10001100010", "00100110100", "11000100010", "00100111000", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06094240650319222) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.06094240650319222) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.06094240650319222) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.06094240650319222) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIIIIZIIZI",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.12... | 0.985922 | [
0.06094240650319222,
-1.401133667911887,
1.6260910595462086,
1.631365084044293
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 22 |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -3.493577327294222, "params": [[-0.0446, -0.033600000000000005, -0.0177], [0.0632, 0.0475, 0.0335]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00939151229970562, 0.010183051436977722], "optimization_time": 4.799768686294556} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
2e176b1388169c31718c374b42e0c725 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 56.08700251579285} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
dd4f3f1f90b61f0bfd416cd86d3b98cc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [106, 102], "expectation_value": -0.10838975693034834, "params": [[0.060500000000000005], [-0.0494]], "bitstrings": ["0010101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008428357631691114, 0.00851983904184303], "optimization_time": 1.2909626960754395} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011001", "0010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.008632250976209272) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.008632250976209272) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.008632250976209272) q[1];
cx q[2], q[1];
rz(-0.0540222532... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IZIIZII",
"ZZIIIII",
"ZIZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
0,
-0.5,
-0.5,
0
] | 0.970408 | [
0.008632250976209272,
1.575569617638468,
-0.6727209285319352,
-0.054022253286442244,
1.573410357852268,
-1.5904296327446668,
1.0927283100274239,
0.9434467989254105,
0.5170871449771044,
0.02444273188501817,
3.1589585393994937,
1.186050165776844,
0.5022231717811192
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 306 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 62.077834606170654} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
2f79ad3d343f71eb56d0f1ba14677c5f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [63, 48], "expectation_value": -0.48013253809212375, "params": [[0.0623], [-0.048600000000000004]], "bitstrings": ["000000", "001111"], "total_optimization_steps": 10, "probabilities": [0.01786058519356349, 0.01828057559753969], "optimization_time": 0.980757474899292} | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(4) + -2.0 * Z(2) + 1.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0698748935450855) q[0];
cx q[1], q[0];
rz(-1.4077561688683309) q[0];
rx(-1.3506614933688552) q[0];
rz(-1.4077561688683309) q[1];
rx(-1.3506614933688552) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.009851043646823326) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIZII",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
1,
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-2,
1.5,
1
] | 0.765668 | [
-3.0698748935450855,
0.009851043646823326,
-0.345976474610436,
-1.3823315715627367,
-1.4077561688683307,
-1.673158217705588,
-0.20889296292534484,
-1.3506614933688552
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 211 |
0ffdbeefe93b743cc0dd9d6d0c8f9c6b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [2046, 2047], "expectation_value": -9.550761709554413, "params": [0.7442000000000001, -0.058600000000000006, -0.108, 0.0035, 1.3085, 0.036500000000000005, -0.6203000000000001, 0.005200000000000001, 1.1091, 0.7525000000000001, 1.0350000000000001, 0.0045000000000000005, 1.5669000000000002, 0.9409000000000001, ... | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(6) + 1.0 * Z(9) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(1.3887618978015084) q[1];
h q[2];
h q[3];
ry(0.7829896217543004) q[3];
cx q[2], q[3];
ry(-0.7829896217543004) q[3];
cx q[2], q[3];
ry(0.6162176150404253) q[2];
cx q[3], q[2];
ry(-0.6162176150404253) q[2];
cx q[3], q[2];
ry(0.003068392136908836) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIIIII",
"ZIIIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5
] | 0.925904 | [
0.3843946964371491,
0.0008023060256349922,
1.5444439544656654,
1.8407863795660195,
2.7775237956030168,
3.2064885160681826,
1.5659792435086008,
1.2324352300808505,
0.1619724843882306,
1.3101872853066405,
-0.38358881693311925,
-0.6424085548133869,
1.7251723800296492,
2.072429241122817,
-1.... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
ea11ef823a4171f30b9311f7c1a41939 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2165, 2101], "expectation_value": -136.21429461219128, "params": [0.7867000000000001, 0.0088, -0.0015, 0.5565, 0.0018000000000000002, 0.5874, 0.1487, 0.2964, -0.004, -0.4706, 0.31570000000000004, 0.25170000000000003, 0.7874, -0.0023, 0.7914, 0.0078000000000000005, 0.0026000000000000003, 0.5991000000000001, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(7)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(3)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(4) @ Z(9)) + 7.5 * Z(0) + -7.0 * Z(1) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-148.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["011111001010"], "largest_eigenvalue": 218.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.8302464537243893) q[0];
rz(-0.1385015396537277) q[0];
rx(-0.049759808898888834) q[1];
rz(0.5643219640181008) q[1];
rx(-0.11536810469012611) q[2];
rz(0.4480086067248376) q[2];
rx(0.1251321629220235) q[3];
rz(0.2907309481208033) q[3];
rx(0.0435643968527279) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIZIIIZIII",
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"ZIIIZIIIIIII",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"ZIZIIIIIIIII",
"IIZIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIZIIIIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
22,
3,
11.5,
17,
9.5,
21.5,
13.5,
-4.5,
-14.5,
-12.5
] | 0.971379 | [
0.8302464537243893,
-0.0538172050290708,
-0.049759808898888834,
0.5643219640181008,
-0.11536810469012611,
0.4480086067248376,
0.1251321629220235,
0.2907309481208033,
0.0435643968527279,
-0.4511531299015554,
0.25184419306679967,
0.30315461778697544,
0.8446134154378272,
0.004191968482821294,... | {
"n_parameters": 133,
"n_qubits": 12,
"optimal_eigenvalue": -148.5,
"target_ratio": 0.97,
"target_value": -144.045
} | 8 |
312571784059839439 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4], [0, 5], [2, 3], [8, 1], [4, 7], [9, 6], [0, 9], [5, 7], [0, 8], [1, 5], [4, 6], [6, 7], [9, 7]]} | {"states": [433, 179], "expectation_value": -0.36098311094964974, "params": [0.7547, 0.1615, 0.7210000000000001, 0.0054, 0.8807, 0.17470000000000002, 0.7552, 0.006500000000000001, 0.894, -0.1461, 0.8849, 0.0025, 0.7198, -0.1564, 0.6906, 0.004200000000000001, 0.8899, -0.1579, 0.8793000000000001, 0.0014, 0.87940000000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(9)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010110011", "1101001100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05719948796920637) q[0];
rz(1.7900826371122465) q[0];
rx(0.233561827974998) q[1];
rz(-0.5744728307959712) q[1];
rx(1.910179889463694) q[2];
rz(-0.02274689447501821) q[2];
rx(0.16842680231374207) q[3];
rz(-1.558248372973924) q[3];
rx(2.1674063732764166) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIIIIZZII",
"IZIIIIIIIZ",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974549 | [
0.05719948796920636,
0.8476930002613725,
0.23356182797499797,
-0.5653956659700365,
1.910179889463694,
0.01002215716798811,
0.16842680231374205,
-1.4420015171871543,
2.1674063732764166,
0.42006644978451446,
1.7245245413616406,
0.22738170011188247,
0.043837049169133474,
-0.3059578001843987,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 106 |
-7015161781888442216 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 5, 7, 9, 10, 11], [0, 1, 2, 3, 4, 5, 7, 8, 11], [8, 2, 6], [0, 1, 2, 4, 5, 6, 7, 9, 11], [0, 2, 3, 4, 6, 9, 10, 11], [0, 8, 10, 5], [3, 4, 6, 8, 9, 11], [1, 2, 3, 4, 5, 6, 7, 9, 10], [0, 2, 3, 4, 7, 8, 9, 11], [0, 1, 2, 3, 5, 6, 9, 10], [0, 2... | {"states": [3855, 3919], "expectation_value": -2.2142375019806804, "params": [3.1443000000000003, 0.0058000000000000005, 3.1442, 0.0015, 3.1395, 0.004, 3.1391, 0.0076, 0.18580000000000002, 0.0053, 1.5745, 0.0092, 0.2122, 0.0064, 0.17650000000000002, 0.0031000000000000003, 3.1387, 0.003, 3.1394, 0.01, 3.1086, 0.0064, 3.... | 0.05952380952380952 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.10515873015873015 * (Z(5) @ Z(0)) + 0.07936507936507936 * (Z(6) @ Z(1)) + 0.07738095238095238 * (Z(6) @ Z(0)) + 0.13452380952380952 * (Z(6) @ Z(5)) + 0.0734126984126984 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.083333333333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3309523809523816, "smallest_bitstrings": ["000010110000"], "largest_eigenvalue": 11.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-2.9744913358746756) q[0];
rz(0.10022225814084962) q[0];
rx(3.283881852787815) q[1];
rz(0.0938090850632603) q[1];
cx q[1], q[0];
rz(-0.028390205322190738) q[0];
cx q[1], q[0];
rz(0.05275645992031498) q[1];
rx(3.1173652483360734) q[2];
rz(0.05274073742921814) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZII... | [
0.05952380952380952,
0.08333333333333333,
0.10515873015873015,
0.07936507936507936,
0.07738095238095238,
0.13452380952380952,
0.0734126984126984,
0.16666666666666666,
0.08333333333333333,
0.05555555555555555,
0.07936507936507936,
0.05952380952380952,
0.08333333333333333,
0.0972222222222222... | 0.97335 | [
3.3086939713049106,
0.07183205281865933,
3.283881852787815,
0.0938090850632603,
3.1173652483360734,
0.04773114187903101,
3.01923650359034,
0.04701425756829623,
0.10315609969797189,
-0.12410595665805758,
2.198079053133242,
-0.15220729679229467,
0.2439216227021545,
-0.03594698514866328,
0.... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 5 |
2ee51013acda191f703ffb893493c226 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [0, 3], "expectation_value": -8.425439294811433, "params": [-0.0302, -0.07740000000000001, 0.0009000000000000001, 0.0148, -0.00030000000000000003, 0.1424, -0.0021000000000000003, 0.125, 0.0074, 0.1009, -0.0018000000000000002, 0.1621, -0.0014, 0.1168, 0.0044, 0.1511, 0.004, 0.1592, -0.002, 0.1608, -0.0198, 0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 6 | 10 | 4 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09629260297793997) q[0];
rz(1.8517256343602853) q[0];
rx(0.09906788189421842) q[1];
rz(1.9451869590620134) q[1];
rx(0.02892545239069943) q[2];
rz(2.003018469614699) q[2];
rx(-0.0073791440975656064) q[3];
rz(1.783977364738032) q[3];
rx(0.2559834990973146) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IZIZIIIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
-1.25,
0,
0.75,
0.5,
0.25,
0.25
] | 0.974729 | [
0.09629260297793998,
0.28092930756538914,
0.09906788189421842,
0.37439063226711644,
0.028925452390699435,
0.43222214281980254,
-0.007379144097565606,
0.2131810379431349,
0.25598349909731455,
0.03527527060500375,
0.11765190340959102,
-0.06688611200548515,
-0.006641195680597643,
0.2849079189... | {
"n_parameters": 128,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 20 |
1f66a53262f397c1cb35ee5d70a20155 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [0, 992], "expectation_value": -21.723686294766143, "params": [[[0.002, 0.0041], [0.0024000000000000002, 0.0034000000000000002], [0.0022, 0.0028], [0.0022, 0.0012000000000000001], [1.6053000000000002, 0.007], [0.0022, 0.0095], [0.0026000000000000003, 0.006500000000000001], [0.0021000000000000003, 0.0059], [-... | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(7)) + -3.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 2 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["0000011111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.7530297394226009) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.7530297394226009) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.08970798233715684) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.7530297394226009) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIZIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZIZIIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
-3,
-3,
-2,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.628323 | [
0.7530297394226009,
0.08970798233715684,
1.3418339626072961,
0.14508794364238628,
0.1216043296253272,
0.4385463626432544,
1.1051279328744301
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 187 |
cd719de7de8fbc77489df31212314ecb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [692, 690], "expectation_value": -103.44202880504568, "params": [[[1.5532000000000001, -0.0022], [1.5797, -0.0019], [0.0482, -0.0029000000000000002], [1.0086, 0.1053], [0.3421, 0.124], [0.2494, 0.19060000000000002], [0.031200000000000002, 0.023], [0.45370000000000005, 0.5902000000000001], [0.5963, 0.8205], [... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(9)) + 5.0 * Z(0) + 13.5 * Z(1) + 5.0 * Z(2) + 22.0 * Z(3) + 13.5 * Z(5) + 1.5 * Z(4)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.5, "smallest_bitstrings": ["10101001101"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.463867996503005) q[0];
ry(1.5308159689411525) q[1];
ry(0.46381121391643265) q[2];
ry(1.1201412988018724) q[3];
ry(0.5512968435450739) q[4];
ry(0.38343873931632605) q[5];
ry(0.05806846334621944) q[6];
ry(0.3159658528499392) q[7];
ry(0.27672341917185905) q[8];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIIZIIIIIZ",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
5,
13.5,
5,
22,
13.5,
1.5,
2,
7,
-1.5,
-4,
-11.5
] | 0.970393 | [
1.463867996503005,
1.5308159689411525,
0.46381121391643265,
1.1201412988018724,
0.5512968435450739,
0.38343873931632605,
0.05806846334621944,
0.3159658528499392,
0.27672341917185905,
-0.06318287091050574,
0.8051530288613522,
-0.004074610688578714,
-0.0030855330433688516,
-0.052218674865556... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 45 |
6172ec2f30329f156b64312801e66ef4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 38.450554847717285} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
3894849651364386583 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 11], [0, 3, 7, 8, 9, 11], [0, 2, 3, 4, 7, 8, 10, 11], [2, 3, 4, 9, 11], [0, 1, 4, 5, 8, 9, 10, 11], [0, 5, 7, 9, 11], [1, 2, 4, 5, 8, 10], [1, 2, 4, 7], [0, 1, 3, 5, 6, 7, 8], [3, 4, 5, 6, 8, 10], [0, 3, 6, 8, 9, 11], [1, 2, 3, 8, 9, 11], ... | {"states": [3309, 3821], "expectation_value": -4.5133312238657, "params": [3.1394, 0.0063, 3.1441000000000003, 0.0058000000000000005, 1.602, 0.0047, 0.5202, 0.0034000000000000002, 3.1438, 0.0032, 3.1392, 0.0095, 3.1386000000000003, 0.0001, 0.5559000000000001, 0.0067, 3.1435, 0.0088, 3.1394, 0.0006000000000000001, 0.462... | 0.2523809523809524 * (Z(1) @ Z(2)) + 0.22738095238095235 * (Z(3) @ Z(2)) + 0.21666666666666665 * (Z(3) @ Z(1)) + 0.1761904761904762 * (Z(5) @ Z(2)) + 0.22738095238095235 * (Z(5) @ Z(1)) + 0.22499999999999998 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.11428571428571427 * (Z(6) @ Z(1)) + 0.1654761904761904... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.854761904761906], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.840476190476189, "smallest_bitstrings": ["000100010010"], "largest_eigenvalue": 26.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.000018912278281) q[0];
rz(0.12116950872736654) q[0];
rx(3.235486980810058) q[1];
rz(0.3292209070822894) q[1];
cx q[1], q[0];
rz(-0.001303019722602508) q[0];
cx q[1], q[0];
rz(0.15143500247116412) q[1];
rx(2.099238132979659) q[2];
rz(0.3632404196941592) q[2];
rx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIZI",
"ZIIIIIIIZIII",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZ... | [
0.2523809523809524,
0.22738095238095235,
0.21666666666666665,
0.1761904761904762,
0.22738095238095235,
0.22499999999999998,
0.11666666666666667,
0.11428571428571427,
0.16547619047619047,
0.10833333333333334,
0.30952380952380953,
0.1595238095238095,
0.3416666666666667,
0.23452380952380952,
... | 0.97328 | [
3.000018912278281,
0.11986648900476413,
3.235486980810058,
0.3292209070822894,
2.099238132979659,
0.32360342899221256,
0.291000664679764,
-0.2240158795350075,
3.2022378650915826,
0.095094431219296,
3.140245595086411,
-0.020760853106535918,
3.1439536401074073,
0.0291897946830457,
0.076469... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -4.854761904761906,
"target_ratio": 0.97,
"target_value": -4.7091190476190485
} | 8 |
90ed954541db23a75eecb07977c28089 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [20, 3], "expectation_value": -1.4755337864164317, "params": [[-0.07300000000000001, -0.053200000000000004, -0.026600000000000002], [0.0789, 0.0665, 0.0555]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.025587241519793108, 0.02715890921044353], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [44, 112], "expectation_value": -0.30187507250786305, "params": [[0.0745], [-0.0651]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008839255352039242, 0.008840401142619438], "optimization_time": 3.0704712867736816} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.498214373555806) q[0];
h q[1];
ry(1.5729680172307) q[1];
h q[2];
ry(-0.5206531089606106) q[2];
h q[3];
cx q[3], q[2];
ry(0.5206531089606106) q[2];
cx q[3], q[2];
ry(-0.7572028223353544) q[2];
ry(0.9590918998445399) q[3];
cx q[1], q[3];
ry(-0.201581106472779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
0,
-1,
-0.5
] | 0.998543 | [
-1.5344843944901116,
-1.5502120455956891,
-1.4138900630759628,
1.5729680172307,
1.498214373555806,
-1.0413062179212211,
0.7575107933717606,
-0.5341146279279245,
0.40316221294555876,
-0.44617638881486005,
0.3195043901026477,
-0.08398047723390256,
0.00900809255209721,
0.09919787981410061,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
9ccf6afa8b8c5406913704edea133762 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -12.752881976985895, "params": [[[0.0037, -0.382], [-0.004200000000000001, -0.014100000000000001], [0.0014, 0.0027], [0.0025, -0.0028], [0.004, 0.0031000000000000003], [0.0029000000000000002, 0.0023], [0.0009000000000000001, 0.0032], [0.0036000000000000003, -0.005500000000000... | -0.25 * (Z(0) @ Z(7)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(1) @ Z(3)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6... | 15 | 10 | 4 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["1000000000", "1000010000"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.004857260560674834) q[0];
cx q[7], q[0];
h q[8];
cx q[7], q[8];
rz(-0.0008936042504651827) q[8];
cx q[7], q[8];
cx q[0], q[8];
cx q[7], q[3];
rz(-0.0029005468752201025) q[3];
cx q[7], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IZZIIIIIII",
"IZIIIIIIIZ",
"IIZIIIZIII",
"IIIIIIZIZI",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZZIIIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"IIZIIIIZII"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.75,
1.25,
-0.75,
-1.25,
2.5,
-1.5,
2.25
] | 0.842676 | [
0.004857260560674834,
-0.0008936042504651827,
-0.0029005468752201025,
-0.0000010616949501344924,
0.48043094325010144,
-1.5707918443164457,
-1.5703724991774726,
1.5707747255807762,
1.5707396880411468,
-1.5628288328288282,
1.5707295233887804,
-1.5370801275486683
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 253 |
b5b49a6fced492fe8fd91e1e7f682614 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -2.062166322741403, "params": [[0.0736], [-0.0716]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.027722898009823617, 0.028310843484106042], "optimization_time": 1.1656980514526367} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-1.604271554771607) q[0];
ry(3.9802638996140974e-08) q[0];
rz(-3.108117425613082) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.5707963208372273) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-1.5707963208372273) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.57079632083722... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.895833 | [
-1.5707963208372273,
-1.5707962913955524,
-6.942390991738459e-9,
-1.5707963665752365,
-1.570796325462743
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 189 |
a603da1a0fa48a0c889ceccbdae517d6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 42], "expectation_value": -2.9890913274388606, "params": null, "bitstrings": ["1000111", "1010101"], "total_optimization_steps": 32, "probabilities": [0.06071915258688038, 0.8639379148724238], "optimization_time": 29.799866199493408} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.12013546374620043) q[0];
rz(-2.7657142779613313) q[0];
rx(2.422375160516799) q[1];
rz(1.7107104948808987) q[1];
rx(2.971844809689707) q[2];
rz(1.9173206430283765) q[2];
rx(-0.06343407625664142) q[3];
rz(1.7368643240472572) q[3];
rx(1.8818951710672067) q[4];
rz(1.6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.97452 | [
-0.12013546374620043,
1.946674702423359,
2.422375160516799,
0.1399141680860021,
2.971844809689707,
0.3465243162334797,
-0.0634340762566414,
0.16606799725235954,
1.8818951710672067,
0.02925917178505204,
2.866478378027777,
0.8664717337629608,
0.26591522697777975,
1.2093847600605423,
-1.709... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 15 |
902615253292382298 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 9, 2], [0, 10, 4], [1, 2, 3, 9], [9, 5], [10, 6], [0, 7]]} | {"states": [1923, 1921], "expectation_value": -1.9552060281933623, "params": [1.4041000000000001, 1.3946, 1.3975, 1.3918000000000001, 1.3960000000000001, 1.3988, 1.3872, 0.633, 0.6624, 0.6469, 0.4626, 0.5865, 0.0378, 0.0011, 0.1327, 0.12140000000000001, 0.22760000000000002, 0.1933, 0.7312000000000001, 0.734, 1.3683, 1.... | 0.16666666666666666 * (Z(9) @ Z(10)) + 0.25 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5033310638411166) q[0];
rz(pi/2) q[0];
ry(1.9837342621448892) q[1];
ry(1.4806301276002636) q[2];
ry(1.8410472986296949) q[3];
ry(-0.07523467477997162) q[4];
ry(-0.47220301705583356) q[5];
ry(0.18486901290778704) q[6];
ry(-0.13146322988561052) q[7];
ry(0.0507439609... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIIII",
"ZIIIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIZIZI",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"ZIIIZIIIIII",
"IIIZIIIIZII",
"IIZIIIIIIIZ",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.29166666666666663,
0.16666666666666666,
0.291666666... | 0.970015 | [
1.5033310638411166,
1.9837342621448892,
1.4806301276002636,
1.8410472986296949,
-0.07523467477997162,
-0.47220301705583356,
0.18486901290778704,
-0.13146322988561052,
0.05074396091066052,
0.2177660269596849,
1.3083706001479316,
1.2392229927686222,
-0.9063584421062254,
0.4453195765048277,
... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 103 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [25596, 58364], "expectation_value": -9.217714026102453, "params": [0.1995, 0.19940000000000002, 0.1967, 0.1962, 0.20650000000000002, 0.2015, 0.0045000000000000005, 0.0023, -0.0008, 0.006500000000000001, -0.0047, 0.0004, 0.1978, 0.1991, 0.20370000000000002, 0.2021, 0.2029, 0.20570000000000002, 0.197700000000... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 14 | 16 | 4 | {"smallest_eigenvalues": [-37.62499999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999965, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.3750000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
44bf747c04df002d53e645dfd7a3d1de | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [101, 52], "expectation_value": -0.749987205604683, "params": [[0.0008, 1.5734000000000001, 1.5685, 0.0023, 0.9164, -0.0026000000000000003, 1.5732000000000002], [0.0009000000000000001, 0.004200000000000001, -0.0023, 0.9188000000000001, -1.5683, 0.0064, 0.0037], [0.0016, 2.2208, 1.5733000000000001, 0.00260000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.75 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3... | 9 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001011", "1011010", "1001101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.7680741930129031e-09) q[0];
cx q[1], q[0];
rz(-1.5707962938945503) q[1];
rx(1.5707963403823506) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(1.7680741930129031e-09) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.7680741930129031e-09) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"ZZIIIII",
"IZZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.75,
0,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5
] | 0.640625 | [
1.7680741930129031e-9,
-1.5707962938945503,
1.570796218167446,
0.2526801700074642,
1.5707963403823508
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
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